Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium

Yuanyuan Qiao

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Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium

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arxiv 2310.17134 v1 pith:HX2S7JW5 submitted 2023-10-26 math.AP

Yuanyuan Qiao This is my paper · ORCID

classification math.AP

keywords globalmagneticenergyequilibriumexistencesystemassumptionbounded

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We study the global existence of classical solutions for two-dimensional incompressible MHD system with only magnetic diffusion. By using the time-weighted lower-order energy and uniformly bounded higher-order energy estimates, we prove the global existence result under the assumption that the initial magnetic field is close enough to a constant magnetic vorticity equilibrium.

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